# Days of Month Using Dice Puzzle

## Days of Month Using Dice Puzzle

In Days of Month Using Dice Puzzle, how can you represent days of the month using two 6-sided dice?

Note: You can write one number on each face of the dice from 0 to 9 and you have to represent days from 1 to 31.

For Example – For 1, one dice should show 0 and another should show 1, similarly for 29 one dice should show 2 and another should show 9.

### Solution

Here we have the solution for Days of Month Using Dice Puzzle :
Given 2 dices will work in the following manner –

• You have to show 11, and 22 so 1 and 2 should be present in both dice, similarly to showing 01, 09. 0 should be present in both dice, now the trick is for showing 9 you can use dice with 6 printed on one of the faces.
• Since the last digit varies from 0 to 9 and the first digit from 0 to 3, which means 0, 1, and 2 must be there in each dice. 3 is not needed in both dice because in a month only 30 and 31st dates exist, so they can be made because we will have 1 and 0 in each dice. Here is the overall representation of all the days in 2 dice :

• Now we have total sides = 6+6=12. Total numbers we want to have on dice are = 10 (0 to 9) + 3 (0 to 2) = 13. Here we have one extra number to represent. So to compensate for that no we use a trick here that when we rotate 6 it becomes 9, so we don’t need to write 9 on the dice.
So now total sides = 12 and total numbers to write are also 12.
The important thing here is that 0,1,2 must be there on both the dice, the rest we may put on any dice as per our convenience.
• So now total sides = 12 and total numbers to write are also 12.
• The important thing here is 0,1,2 must be there on both the dice, the rest we may put on any dice as per our convenience.

Solution 1 :

Dice1 : 0, 1, 2, 3, 4, 5.

Dice2 : 0, 1, 2, 6, 7, 8.

Solution 2 :

Dice1 : 0, 1, 2, 3, 6, 7.

Dice2 : 0, 1, 2, 4, 5, 8.

Similarly, any combination can be answered. We just need to take care that 0, and 1,2 must be there on both the dice.

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